631457146060800 has 1440 divisors, whose sum is σ = 2199935436453888. Its totient is φ = 159606374400000.

The previous prime is 631457146060789. The next prime is 631457146060817. The reversal of 631457146060800 is 8060641754136.

It is a super-2 number, since 2×631457146060800² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 769131724390 + ... + 769131725210.

Almost surely, 2^{631457146060800} is an apocalyptic number.

631457146060800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631457146060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099967718226944).

631457146060800 is an abundant number, since it is smaller than the sum of its proper divisors (1568478290393088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

631457146060800 is a wasteful number, since it uses less digits than its factorization.

631457146060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 631457146060800 in words is "six hundred thirty-one trillion, four hundred fifty-seven billion, one hundred forty-six million, sixty thousand, eight hundred".